We first apply our formalism using a single NV center (REF ) with p=2. We use \(\kappa = 3.6\, \mu \text{s}^{-1}\)  and \(\tau _{c}=25 \mu \text{s}\) . These correspond to the free induction decay time of \(T_{2,single}^{*}=0.4 \mu s\) . The noise parameters used here are taken from Ref. [1]} and have been used for recent simulations such as in Ref.  [2]}.
